Question

Can someone help me with this geometry question.

Answer 1

Because this is 4 sided, it is 360°(in total)

The shape is parallel on 2 sides(shown by the red arrows), so (5x)° = 90°

5x = 90

x = 18°

You can add all the angles together and set it equal to 360°

90° + (5x)° + (5(y+11))° + (4y-10)° = 360°

Since you know 5x is 90°, you can plug it in

90° + 90° + (5(y+11))° + (4y-10)° = 360°

180° + (5(y+11))° + (4y-10)° = 360° Subtract 180° on both sides

(5(y+11))° + (4y-10)° = 180°

5y + 55° + 4y - 10° = 180°

9y + 45° = 180°

9y = 135°

y = 15°

x = 18°, y = 15°